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1442443332 = 2231161359499
BaseRepresentation
bin101010111111001…
…1111000001000100
310201112012201021010
41111332133001010
510423231141312
6355044322220
750513365101
oct12576370104
93645181233
101442443332
11680249030
123430a3370
1319cabc485
14d97ddaa8
158697a93c
hex55f9f044

1442443332 has 96 divisors (see below), whose sum is σ = 3749760000. Its totient is φ = 427881600.

The previous prime is 1442443297. The next prime is 1442443333. The reversal of 1442443332 is 2333442441.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1442443332.

It is not an unprimeable number, because it can be changed into a prime (1442443333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2890419 + ... + 2890917.

It is an arithmetic number, because the mean of its divisors is an integer number (39060000).

Almost surely, 21442443332 is an apocalyptic number.

1442443332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442443332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880000).

1442443332 is an abundant number, since it is smaller than the sum of its proper divisors (2307316668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1442443332 is a wasteful number, since it uses less digits than its factorization.

1442443332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 935 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 1442443332 is about 37979.5120031840. The cubic root of 1442443332 is about 1129.8815580560.

Adding to 1442443332 its reverse (2333442441), we get a palindrome (3775885773).

The spelling of 1442443332 in words is "one billion, four hundred forty-two million, four hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 359 366 499 671 718 732 998 1077 1342 1436 1497 1996 2013 2154 2684 2994 3949 4026 4308 5489 5988 7898 8052 10978 11847 15796 16467 21899 21956 23694 30439 32934 43798 47388 60878 65697 65868 87596 91317 121756 131394 179141 182634 240889 262788 334829 358282 365268 481778 537423 669658 716564 722667 963556 1004487 1074846 1339316 1445334 1970551 2008974 2149692 2890668 3941102 4017948 5911653 7882204 10927601 11823306 21855202 23646612 32782803 43710404 65565606 120203611 131131212 240407222 360610833 480814444 721221666 1442443332